Adaptive parameter-dependent output feedback controllers synthesis through LMI-based optimization

Abstract

A fundamental problem in engineering consists of designing adaptive output feedback controllers for stabilizing plants affected by parameters. This paper addresses this problem by proposing a novel approach for designing fixed-order fixed-degree adaptive parameter-dependent output feedback controllers. The proposed approach requires the solution of convex optimization problems with linear matrix inequalities, and provides a sufficient condition based on the construction of a function that quantifies a stability margin of the closed-loop system depending on the controller. This condition is nonconservative under some mild assumptions by increasing the size of the linear matrix inequalities.